scholarly journals The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 262
Author(s):  
Binbin Sang ◽  
Binghan Long ◽  
Jinzhong Pang ◽  
Weihua Xu
Keyword(s):  
Data Analysis ◽  
Lattice Theory ◽  
Fuzzy Theory ◽  
Concept Lattice ◽  
Attribute Reduction ◽  
Formal Context ◽  
Intuitionistic Fuzzy ◽  
Decision Formal Context ◽  
Intuitionistic Fuzzy Theory

Concept lattice has been successfully applied to various fields as an effective tool for data analysis and knowledge discovery, with attribute reduction being the key problem. This paper combines the intuitionistic fuzzy theory with the concept lattice theory and proposes one kind of concept lattice in intuitionistic fuzzy generalized consistent decision formal context. Furthermore, an approach to attribute a reduction in the discernibility matrix is proposed and investigated, making the discovery of implicit knowledge easier and the representation simpler in the data system and perfecting the theory of concept lattice. Moreover, this paper studies, in detail, the algorithms and case study of data analysis in the intuitionistic fuzzy generalized consistent decision formal context. The potential value of the method to deal with information discussed in this paper, especially the value of forecasting and decision-making, is expected in future.

scholarly journals Attribute Reduction in Intuitionistic Fuzzy Concept Lattices

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jinzhong Pang ◽  
Xiaoyan Zhang ◽  
Weihua Xu
Keyword(s):  
Knowledge Discovery ◽  
Lattice Theory ◽  
Fuzzy Theory ◽  
Concept Lattice ◽  
Attribute Reduction ◽  
Discernibility Matrix ◽  
Fuzzy Concept Lattice ◽  
Fuzzy Concept ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Theory

As an effective tool for knowledge discovery, concept lattice has been successfully applied to various fields. And one of the key problems of knowledge discovery is attribute reduction. In order to understand the problems better, the attribute reduction is necessary to perfect the theory as well as expand application of concept lattice. This paper introduces the intuitionistic fuzzy theory into the concept lattice theory and proposes a kind of intuitionistic fuzzy concept lattice. Then, an approach to attribute reduction based on the discernibility matrix is proposed and investigated, which makes the discovery of implicit knowledge easier and the representation simpler in data; furthermore, the theory of concept lattice is perfected. The theory of intuitionistic fuzzy concept lattice is useful and meaningful in view of the complexity and fuzziness of information in real world, and the potential value of dealing with information is expected in the future.

scholarly journals Attribute Reduction Based on Property Pictorial Diagram

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Qing Wan ◽  
Ling Wei
Keyword(s):  
Lattice Structure ◽  
Concept Lattice ◽  
Attribute Reduction ◽  
Object Oriented ◽  
Formal Context ◽  
Reduction Approach

This paper mainly studies attribute reduction which keeps the lattice structure in formal contexts based on the property pictorial diagram. Firstly, the property pictorial diagram of a formal context is defined. Based on such diagram, an attribute reduction approach of concept lattice is achieved. Then, through the relation between an original formal context and its complementary context, an attribute reduct of complementary context concept lattice is obtained, which is also based on the property pictorial diagram of the original formal context. Finally, attribute reducts in property oriented concept lattice and object oriented concept lattice can be acquired by the relations of attribute reduction between these two lattices and concept lattice of complementary context. In addition, a detailed illustrative example is presented.

scholarly journals Environmental Adaptation of Construction Barriers under Intuitionistic Fuzzy Theory

2021 ◽  
Vol 15 (1) ◽  
pp. 1-10
Author(s):  
Katarina Rogulj ◽  
Jelena Kilić Pamuković
Keyword(s):  
High Schools ◽  
Fuzzy Theory ◽  
Weighted Average ◽  
Decision Makers ◽  
Comprehensive Planning ◽  
Intuitionistic Fuzzy ◽  
Priority Ranking ◽  
Intuitionistic Fuzzy Theory ◽  
Available Information ◽  
The Given

The project of construction barriers removal is a comprehensive planning task and it demands a suitable support for identification, and priority ranking of facilities necessary for barriers removal. This paper proposes a multicirteria Intuitionistic Fuzzy (IF) ELECTRE model to support decision makers in the process of managing of removal project of construction barriers for physically disabled in high schools. IF ELECTRE approach is used to deal with complex problems, where decision-makers have ambiguities and dualities in evaluation of considered solution. Hereby 17 high schools are defined and seven criteria are determined by decision-makers. These criteria are further used for the alternatives assessments. Each DM is also evaluated by linguistic and numerical values, assigning them this way an importance according to their background and the years of experience. The Intuitionistic Fuzzy Weighted Average (IFWA) operator is calculated to achieve aggregated alternatives evaluations. Furthermore, concordance and discordance sets and indexes are calculated to obtain dominance matrix and final ranking of schools for the construction barriers removal. The model is validated on high schools in the city of Split. Using IF theory, the given problematic can be operated more effectively by diminishing the inaccuracy of available information.

Sign in / Sign up

Export Citation Format

Share Document